A 01m3 volume of water is observed to be 00982 m3 after a pr

A 0.1-m^3 volume of water is observed to be 0.0982 m^3 after a pressure is? (Take bulk modulus of water Ev=2100*10^6 Pa)

Solution

Given initial volume of water = 0.1m³.

Final volume of water = 0.0982m³

Bulk modulus of water E_V = 2100*10⁶ Pa.

E_V = -?P/(?V/V)

2100*10⁶ = -?P/((.0982-.1)/.1)

?P = 3.78*10⁷ Pa

Hence volume of 0.0982m³ will be achieved after a pressure of 3.78*10⁷ Pa